%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC188+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:01 PM UTC 2026
% Result : Theorem 18.54s 3.73s
% Output : Refutation 18.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 159 ( 23 unt; 8 def)
% Number of atoms : 600 ( 75 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 774 ( 333 ~; 339 |; 48 &)
% ( 18 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 124 ( 0 sgn 96 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X9,X8) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X9,X8) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X9,X8) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X9,X8) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f305,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f318,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f332,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f336,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f361,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f411,plain,
ssList(sK55),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
sK51 != sK53,
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
sK47 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
ssList(sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
ssItem(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
( nil = sK50
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
( nil = sK49
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
( nil = sK49
| memberP(sK50,sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f424,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f428,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f433,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(definition_unfolding,[],[f413,f426]) ).
fof(f435,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f228]) ).
fof(f439,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f241]) ).
fof(f467,definition,
( spl56_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f469,plain,
( ssItem(sK52)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl56_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f472,plain,
( nil != sK50
| spl56_2 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( nil = sK50
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f477,definition,
( spl56_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl56_3])],[avatar_definition]) ).
fof(f479,plain,
( nil = sK49
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,plain,
( spl56_1
| spl56_3 ),
inference(avatar_split_clause,[],[f421,f477,f467]) ).
fof(f481,plain,
( memberP(nil,sK52)
| nil = sK49
| ~ spl56_2 ),
inference(forward_demodulation,[],[f422,f473]) ).
fof(f483,definition,
( spl56_4
<=> memberP(nil,sK52) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f485,plain,
( memberP(nil,sK52)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,plain,
( spl56_3
| spl56_4
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f481,f471,f483,f477]) ).
fof(f487,plain,
( ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f428,f479]) ).
fof(f488,plain,
( nil = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f433,f479]) ).
fof(f619,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK53,X0) != X0 ),
inference(resolution,[],[f307,f417]) ).
fof(f853,plain,
sK49 != cons(sK53,sK49),
inference(resolution,[],[f619,f428]) ).
fof(f858,plain,
( nil != cons(sK53,nil)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f853,f479]) ).
fof(f2338,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(sK55)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f439,f488]) ).
fof(f2343,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2338,f411]) ).
fof(f3460,definition,
( spl56_13
<=> ssList(cons(sK53,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_13])],[avatar_definition]) ).
fof(f3461,plain,
( ssList(cons(sK53,nil))
| ~ spl56_13 ),
inference(avatar_component_clause,[],[f3460]) ).
fof(f3462,plain,
( ~ ssList(cons(sK53,nil))
| spl56_13 ),
inference(avatar_component_clause,[],[f3460]) ).
fof(f3464,definition,
( spl56_14
<=> segmentP(nil,cons(sK53,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_14])],[avatar_definition]) ).
fof(f3465,plain,
( ~ segmentP(nil,cons(sK53,nil))
| spl56_14 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f3466,plain,
( segmentP(nil,cons(sK53,nil))
| ~ spl56_14 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f3472,plain,
( ~ ssItem(sK53)
| ~ ssList(nil)
| spl56_13 ),
inference(resolution,[],[f3462,f305]) ).
fof(f3473,plain,
( ~ ssList(nil)
| spl56_13 ),
inference(forward_subsumption_resolution,[],[f3472,f417]) ).
fof(f3545,plain,
( nil = cons(sK53,nil)
| ~ ssList(cons(sK53,nil))
| ~ spl56_14 ),
inference(resolution,[],[f3466,f361]) ).
fof(f3548,plain,
( ~ ssList(cons(sK53,nil))
| ~ spl56_3
| ~ spl56_14 ),
inference(forward_subsumption_resolution,[],[f3545,f858]) ).
fof(f3550,plain,
( $false
| ~ spl56_3
| ~ spl56_13
| ~ spl56_14 ),
inference(forward_subsumption_resolution,[],[f3548,f3461]) ).
fof(f3551,plain,
( ~ spl56_3
| ~ spl56_13
| ~ spl56_14 ),
inference(avatar_contradiction_clause,[],[f3550]) ).
fof(f3563,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3
| ~ spl56_13 ),
inference(forward_subsumption_resolution,[],[f2343,f3461]) ).
fof(f3580,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| ~ spl56_13 ),
inference(forward_subsumption_resolution,[],[f3563,f487]) ).
fof(f3703,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3580,f3465]) ).
fof(f3704,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(resolution,[],[f3703,f318]) ).
fof(f3705,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3704,f414]) ).
fof(f3749,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(resolution,[],[f3705,f305]) ).
fof(f3750,plain,
( ~ ssList(nil)
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3749,f424]) ).
fof(f3751,plain,
( $false
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3750,f487]) ).
fof(f3752,plain,
( ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(avatar_contradiction_clause,[],[f3751]) ).
fof(f3795,plain,
( ~ ssItem(sK52)
| ~ spl56_4 ),
inference(resolution,[],[f485,f336]) ).
fof(f3798,plain,
( $false
| ~ spl56_1
| ~ spl56_4 ),
inference(forward_subsumption_resolution,[],[f3795,f469]) ).
fof(f3799,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(avatar_contradiction_clause,[],[f3798]) ).
fof(f3902,plain,
( sK49 = cons(sK52,nil)
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f420,f472]) ).
fof(f3917,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl56_2 ),
inference(superposition,[],[f333,f3902]) ).
fof(f3960,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3917,f469]) ).
fof(f4337,definition,
( spl56_16
<=> ssList(app(sK54,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_16])],[avatar_definition]) ).
fof(f4338,plain,
( ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_16 ),
inference(avatar_component_clause,[],[f4337]) ).
fof(f4339,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_16 ),
inference(avatar_component_clause,[],[f4337]) ).
fof(f4345,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| spl56_16 ),
inference(resolution,[],[f4339,f318]) ).
fof(f4346,plain,
( ~ ssList(cons(sK51,nil))
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f4345,f414]) ).
fof(f4347,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_16 ),
inference(resolution,[],[f4346,f305]) ).
fof(f4348,plain,
( ~ ssList(nil)
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f4347,f424]) ).
fof(f4371,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3960,f336]) ).
fof(f4380,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ ssList(sK55)
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f332,f433]) ).
fof(f4405,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f4380,f411]) ).
fof(f4408,plain,
( $false
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f306,f4348]) ).
fof(f4409,plain,
spl56_16,
inference(avatar_contradiction_clause,[],[f4408]) ).
fof(f5055,definition,
( spl56_18
<=> ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_18])],[avatar_definition]) ).
fof(f5056,plain,
( ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(avatar_component_clause,[],[f5055]) ).
fof(f5057,plain,
( ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| spl56_18 ),
inference(avatar_component_clause,[],[f5055]) ).
fof(f5064,plain,
( ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_18 ),
inference(resolution,[],[f5057,f318]) ).
fof(f5065,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f5064,f3461]) ).
fof(f5066,plain,
( $false
| ~ spl56_13
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f5065,f4338]) ).
fof(f5067,plain,
( ~ spl56_13
| ~ spl56_16
| spl56_18 ),
inference(avatar_contradiction_clause,[],[f5066]) ).
fof(f7081,plain,
( ! [X0] :
( ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f4405,f5056]) ).
fof(f7085,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK53,nil))
| ~ memberP(app(sK54,cons(sK51,nil)),X0)
| ~ ssItem(X0) )
| ~ spl56_18 ),
inference(resolution,[],[f7081,f332]) ).
fof(f7087,plain,
( memberP(sK49,sK53)
| ~ ssItem(sK53)
| ~ ssItem(sK53)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(resolution,[],[f7081,f435]) ).
fof(f7088,plain,
( memberP(sK49,sK53)
| ~ ssItem(sK53)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(duplicate_literal_removal,[],[f7087]) ).
fof(f7090,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK53,nil))
| ~ memberP(app(sK54,cons(sK51,nil)),X0) )
| ~ spl56_18 ),
inference(duplicate_literal_removal,[],[f7085]) ).
fof(f7091,plain,
( memberP(sK49,sK53)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7088,f417]) ).
fof(f7093,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK53,nil))
| ~ memberP(app(sK54,cons(sK51,nil)),X0) )
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7090,f4338]) ).
fof(f7096,plain,
( ! [X0] :
( ~ memberP(app(sK54,cons(sK51,nil)),X0)
| ~ ssItem(X0)
| memberP(sK49,X0) )
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7093,f3461]) ).
fof(f7784,plain,
( memberP(sK49,sK53)
| ~ ssList(nil)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7091,f4338]) ).
fof(f7790,plain,
( memberP(sK49,sK53)
| ~ ssList(nil)
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7784,f5056]) ).
fof(f8039,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f4371,f306]) ).
fof(f8348,plain,
( memberP(sK49,sK53)
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7790,f306]) ).
fof(f8350,plain,
( sK52 = sK53
| ~ ssItem(sK53)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(resolution,[],[f8348,f8039]) ).
fof(f8353,plain,
( sK52 = sK53
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f8350,f417]) ).
fof(f8370,plain,
( sK51 != sK52
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(superposition,[],[f412,f8353]) ).
fof(f84865,plain,
( ~ ssItem(sK51)
| memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(resolution,[],[f7096,f435]) ).
fof(f84866,plain,
( ~ ssItem(sK51)
| memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(duplicate_literal_removal,[],[f84865]) ).
fof(f84869,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84866,f424]) ).
fof(f84872,plain,
( memberP(sK49,sK51)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84869,f306]) ).
fof(f84875,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84872,f414]) ).
fof(f84876,plain,
( memberP(sK49,sK51)
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84875,f4338]) ).
fof(f84877,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(resolution,[],[f84876,f8039]) ).
fof(f84958,plain,
( ~ ssItem(sK51)
| ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84877,f8370]) ).
fof(f84999,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84958,f424]) ).
fof(f85000,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(avatar_contradiction_clause,[],[f84999]) ).
fof(f85002,plain,
( $false
| spl56_13 ),
inference(forward_subsumption_resolution,[],[f3473,f306]) ).
fof(f85003,plain,
spl56_13,
inference(avatar_contradiction_clause,[],[f85002]) ).
cnf(s2,plain,
( spl56_1
| spl56_3 ),
inference(sat_conversion,[],[f480]) ).
cnf(s3,plain,
( ~ spl56_2
| spl56_3
| spl56_4 ),
inference(sat_conversion,[],[f486]) ).
cnf(s18,plain,
( ~ spl56_3
| ~ spl56_13
| ~ spl56_14 ),
inference(sat_conversion,[],[f3551]) ).
cnf(s19,plain,
( ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(sat_conversion,[],[f3752]) ).
cnf(s20,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(sat_conversion,[],[f3799]) ).
cnf(s23,plain,
spl56_16,
inference(sat_conversion,[],[f4409]) ).
cnf(s26,plain,
( ~ spl56_13
| ~ spl56_16
| spl56_18 ),
inference(sat_conversion,[],[f5067]) ).
cnf(s99,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(sat_conversion,[],[f85000]) ).
cnf(s100,plain,
spl56_13,
inference(sat_conversion,[],[f85003]) ).
cnf(s102,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(rat,[],[s99,s100]) ).
cnf(s119,plain,
( ~ spl56_16
| spl56_18 ),
inference(rat,[],[s26,s100]) ).
cnf(s121,plain,
spl56_18,
inference(rat,[],[s119,s23]) ).
cnf(s128,plain,
( ~ spl56_3
| spl56_14 ),
inference(rat,[],[s19,s100]) ).
cnf(s129,plain,
( ~ spl56_3
| ~ spl56_14 ),
inference(rat,[],[s18,s100]) ).
cnf(s132,plain,
~ spl56_3,
inference(rat,[],[s129,s128]) ).
cnf(s136,plain,
spl56_1,
inference(rat,[],[s2,s132]) ).
cnf(s138,plain,
spl56_2,
inference(rat,[],[s102,s121,s23,s136]) ).
cnf(s139,plain,
~ spl56_4,
inference(rat,[],[s20,s136]) ).
cnf(s141,plain,
$false,
inference(rat,[],[s3,s132,s138,s139]) ).
fof(f85354,plain,
$false,
inference(avatar_sat_refutation,[],[s141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC188+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 08:21:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.29/2.33 % (1629360)Will run a generic schedule for satisfiability detection.
% 13.29/2.33 % (1629369)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=503280199:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.29/2.33 % (1629366)% WARNING: option uhcvi not known.
% 13.29/2.33 % (1629365)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3088504431_2999 on theBenchmark for (2999ds/0Mi)
% 13.29/2.33 % (1629367)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3098750315:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.29/2.33 % (1629366)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1576034241:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.29/2.33 % (1629368)dis+10_1_sil=32000:sp=arity:random_seed=608406482:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.29/2.33 % (1629370)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3324354437:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.29/2.33 % (1629371)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3023481941:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.29/2.33 % TRYING [1]
% 13.29/2.33 % TRYING [2]
% 13.29/2.33 % TRYING [3]
% 13.29/2.33 % (1629369)Instruction limit reached!
% 13.29/2.33 % (1629369)------------------------------
% 13.29/2.33 % (1629369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.33 % (1629369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.33 % (1629369)CaDiCaL version: 2.1.3
% 13.29/2.33 % (1629369)Termination reason: Instruction limit
% 13.29/2.33 % (1629369)Termination phase: Saturation
% 13.29/2.33 % (1629369)Time elapsed: 0.040 s
% 13.29/2.33 % (1629369)Peak memory usage: 13 MB
% 13.29/2.33 % (1629369)Instructions burned: 118 (million)
% 13.29/2.33 % TRYING [4]
% 13.29/2.33 % (1629379)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=303842131:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.29/2.33 % TRYING [1]
% 13.29/2.33 % TRYING [2]
% 13.29/2.33 % TRYING [3]
% 13.29/2.33 % (1629368)Instruction limit reached!
% 13.29/2.33 % (1629368)------------------------------
% 13.29/2.33 % (1629368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.33 % (1629368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.33 % (1629368)CaDiCaL version: 2.1.3
% 13.29/2.33 % (1629368)Termination reason: Instruction limit
% 13.29/2.33 % (1629368)Termination phase: Saturation
% 13.29/2.33 % (1629368)Time elapsed: 0.060 s
% 13.29/2.33 % (1629368)Peak memory usage: 13 MB
% 13.29/2.33 % (1629368)Instructions burned: 103 (million)
% 13.29/2.33 % TRYING [4]
% 13.29/2.33 % (1629370)Instruction limit reached!
% 13.29/2.33 % (1629370)------------------------------
% 13.29/2.33 % (1629370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.33 % (1629370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.33 % (1629370)CaDiCaL version: 2.1.3
% 13.29/2.33 % (1629370)Termination reason: Instruction limit
% 13.29/2.33 % (1629370)Termination phase: Saturation
% 13.29/2.33 % (1629370)Time elapsed: 0.078 s
% 13.29/2.33 % (1629370)Peak memory usage: 13 MB
% 13.29/2.33 % (1629370)Instructions burned: 134 (million)
% 13.29/2.33 % (1629381)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3771617445:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.29/2.33 % (1629371)Instruction limit reached!
% 13.29/2.33 % (1629371)------------------------------
% 13.29/2.33 % (1629371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.33 % (1629371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.33 % (1629371)CaDiCaL version: 2.1.3
% 13.29/2.33 % (1629371)Termination reason: Instruction limit
% 13.29/2.33 % (1629371)Termination phase: Saturation
% 13.29/2.33 % (1629371)Time elapsed: 0.087 s
% 13.29/2.33 % (1629371)Peak memory usage: 14 MB
% 13.29/2.33 % (1629371)Instructions burned: 160 (million)
% 13.29/2.33 % TRYING [5]
% 13.29/2.33 % TRYING [5]
% 13.29/2.33 % (1629382)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4057519817:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.29/2.33 % (1629384)ott-21_1_sil=16000:fs=off:random_seed=208854570:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.29/2.33 % (1629381)Instruction limit reached!
% 13.29/2.33 % (1629381)------------------------------
% 13.29/2.33 % (1629381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629381)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629381)Termination reason: Instruction limit
% 18.54/3.73 % (1629381)Termination phase: Saturation
% 18.54/3.73 % (1629381)Time elapsed: 0.074 s
% 18.54/3.73 % (1629381)Peak memory usage: 13 MB
% 18.54/3.73 % (1629381)Instructions burned: 131 (million)
% 18.54/3.73 % (1629387)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2402591739:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.54/3.73 % TRYING [6]
% 18.54/3.73 % (1629384)Instruction limit reached!
% 18.54/3.73 % (1629384)------------------------------
% 18.54/3.73 % (1629384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629384)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629384)Termination reason: Instruction limit
% 18.54/3.73 % (1629384)Termination phase: Saturation
% 18.54/3.73 % (1629384)Time elapsed: 0.089 s
% 18.54/3.73 % (1629384)Peak memory usage: 14 MB
% 18.54/3.73 % (1629384)Instructions burned: 180 (million)
% 18.54/3.73 % (1629379)Instruction limit reached!
% 18.54/3.73 % (1629379)------------------------------
% 18.54/3.73 % (1629379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629379)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629379)Termination reason: Instruction limit
% 18.54/3.73 % (1629379)Termination phase: Finite model building constraint generation
% 18.54/3.73 % (1629379)Time elapsed: 0.159 s
% 18.54/3.73 % (1629379)Peak memory usage: 28 MB
% 18.54/3.73 % (1629379)Instructions burned: 719 (million)
% 18.54/3.73 % (1629390)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2977840736:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.54/3.73 % TRYING [6]
% 18.54/3.73 % (1629389)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2256697830:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.54/3.73 % TRYING [1]
% 18.54/3.73 % TRYING [2]
% 18.54/3.73 % TRYING [3]
% 18.54/3.73 % TRYING [4]
% 18.54/3.73 % TRYING [5]
% 18.54/3.73 % (1629382)Instruction limit reached!
% 18.54/3.73 % (1629382)------------------------------
% 18.54/3.73 % (1629382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629382)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629382)Termination reason: Instruction limit
% 18.54/3.73 % (1629382)Termination phase: Saturation
% 18.54/3.73 % (1629382)Time elapsed: 0.373 s
% 18.54/3.73 % (1629382)Peak memory usage: 21 MB
% 18.54/3.73 % (1629382)Instructions burned: 685 (million)
% 18.54/3.73 % (1629394)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=635547412:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 18.54/3.73 % (1629387)Instruction limit reached!
% 18.54/3.73 % (1629387)------------------------------
% 18.54/3.73 % (1629387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629387)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629387)Termination reason: Instruction limit
% 18.54/3.73 % (1629387)Termination phase: Saturation
% 18.54/3.73 % (1629387)Time elapsed: 0.329 s
% 18.54/3.73 % (1629387)Peak memory usage: 15 MB
% 18.54/3.73 % (1629387)Instructions burned: 477 (million)
% 18.54/3.73 % TRYING [7]
% 18.54/3.73 % (1629396)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3374965172:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 18.54/3.73 % (1629390)Instruction limit reached!
% 18.54/3.73 % (1629390)------------------------------
% 18.54/3.73 % (1629390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629390)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629390)Termination reason: Instruction limit
% 18.54/3.73 % (1629390)Termination phase: Saturation
% 18.54/3.73 % (1629390)Time elapsed: 0.335 s
% 18.54/3.73 % (1629390)Peak memory usage: 24 MB
% 18.54/3.73 % (1629390)Instructions burned: 1183 (million)
% 18.54/3.73 % (1629398)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2209226745:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.54/3.73 % (1629389)Instruction limit reached!
% 18.54/3.73 % (1629389)------------------------------
% 18.54/3.73 % (1629389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629389)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629389)Termination reason: Instruction limit
% 18.54/3.73 % (1629389)Termination phase: Finite model building SAT solving
% 18.54/3.73 % (1629389)Time elapsed: 0.343 s
% 18.54/3.73 % (1629389)Peak memory usage: 22 MB
% 18.54/3.73 % (1629389)Instructions burned: 866 (million)
% 18.54/3.73 % (1629400)fmb+10_1_sil=64000:random_seed=1508467649:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 18.54/3.73 % TRYING [1]
% 18.54/3.73 % TRYING [14]
% 18.54/3.73 % TRYING [2]
% 18.54/3.73 % TRYING [3]
% 18.54/3.73 % TRYING [4]
% 18.54/3.73 % TRYING [5]
% 18.54/3.73 % (1629398)Instruction limit reached!
% 18.54/3.73 % (1629398)------------------------------
% 18.54/3.73 % (1629398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629398)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629398)Termination reason: Instruction limit
% 18.54/3.73 % (1629398)Termination phase: Saturation
% 18.54/3.73 % (1629398)Time elapsed: 0.249 s
% 18.54/3.73 % (1629398)Peak memory usage: 20 MB
% 18.54/3.73 % (1629398)Instructions burned: 882 (million)
% 18.54/3.73 % (1629394)Instruction limit reached!
% 18.54/3.73 % (1629394)------------------------------
% 18.54/3.73 % (1629394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629394)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629394)Termination reason: Instruction limit
% 18.54/3.73 % (1629394)Termination phase: Finite model building constraint generation
% 18.54/3.73 % (1629394)Time elapsed: 0.318 s
% 18.54/3.73 % (1629394)Peak memory usage: 70 MB
% 18.54/3.73 % (1629394)Instructions burned: 889 (million)
% 18.54/3.73 % (1629402)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=161951194:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 18.54/3.73 % TRYING [20]
% 18.54/3.73 % (1629403)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4004834135:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 18.54/3.73 % TRYING [8]
% 18.54/3.73 % (1629396)Instruction limit reached!
% 18.54/3.73 % (1629396)------------------------------
% 18.54/3.73 % (1629396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629396)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629396)Termination reason: Instruction limit
% 18.54/3.73 % (1629396)Termination phase: Saturation
% 18.54/3.73 % (1629396)Time elapsed: 0.381 s
% 18.54/3.73 % (1629396)Peak memory usage: 23 MB
% 18.54/3.73 % (1629396)Instructions burned: 692 (million)
% 18.54/3.73 % (1629406)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=701811613:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 18.54/3.73 % TRYING [6]
% 18.54/3.73 % (1629403)Instruction limit reached!
% 18.54/3.73 % (1629403)------------------------------
% 18.54/3.73 % (1629403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629403)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629403)Termination reason: Instruction limit
% 18.54/3.73 % (1629403)Termination phase: Finite model building constraint generation
% 18.54/3.73 % (1629403)Time elapsed: 0.335 s
% 18.54/3.73 % (1629403)Peak memory usage: 69 MB
% 18.54/3.73 % (1629403)Instructions burned: 922 (million)
% 18.54/3.73 % (1629408)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2329587900:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 18.54/3.73 % TRYING [8]
% 18.54/3.73 % TRYING [7]
% 18.54/3.73 % (1629408)Instruction limit reached!
% 18.54/3.73 % (1629408)------------------------------
% 18.54/3.73 % (1629408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629408)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629408)Termination reason: Instruction limit
% 18.54/3.73 % (1629408)Termination phase: Saturation
% 18.54/3.73 % (1629408)Time elapsed: 0.648 s
% 18.54/3.73 % (1629408)Peak memory usage: 23 MB
% 18.54/3.73 % (1629408)Instructions burned: 1472 (million)
% 18.54/3.73 % (1629410)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2045302414:i=6324_2981 on theBenchmark for (2981ds/6324Mi)
% 18.54/3.73 % TRYING [77]
% 18.54/3.73 % (1629402)Instruction limit reached!
% 18.54/3.73 % (1629402)------------------------------
% 18.54/3.73 % (1629402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629402)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629402)Termination reason: Instruction limit
% 18.54/3.73 % (1629402)Termination phase: Finite model building constraint generation
% 18.54/3.73 % (1629402)Time elapsed: 1.832 s
% 18.54/3.73 % (1629402)Peak memory usage: 558 MB
% 18.54/3.73 % (1629402)Instructions burned: 9516 (million)
% 18.54/3.73 % (1629412)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2206051456:fmbsr=2.30978:i=2174_2972 on theBenchmark for (2972ds/2174Mi)
% 18.54/3.73 % TRYING [16]
% 18.54/3.73 % TRYING [9]
% 18.54/3.73 % (1629412)Instruction limit reached!
% 18.54/3.73 % (1629412)------------------------------
% 18.54/3.73 % (1629412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629412)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629412)Termination reason: Instruction limit
% 18.54/3.73 % (1629412)Termination phase: Finite model building constraint generation
% 18.54/3.73 % (1629412)Time elapsed: 0.409 s
% 18.54/3.73 % (1629412)Peak memory usage: 138 MB
% 18.54/3.73 % (1629412)Instructions burned: 2177 (million)
% 18.54/3.73 % (1629414)ott-2_1_sil=16000:newcnf=on:random_seed=2973123488:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 18.54/3.73 % (1629406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1629360-1629406"...
% 18.54/3.73 % (1629406)...printing done.
% 18.54/3.73 % (1629406)Refutation found. Thanks to Tanya!
% 18.54/3.73 % SZS status Theorem for theBenchmark
% 18.54/3.73 % SZS output start Proof for theBenchmark
% See solution above
% 18.54/3.73 % (1629406)------------------------------
% 18.54/3.73 % (1629406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.54/3.73 % (1629406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.73 % (1629406)CaDiCaL version: 2.1.3
% 18.54/3.73 % (1629406)Termination reason: Refutation
% 18.54/3.73 % (1629406)Time elapsed: 2.291 s
% 18.54/3.73 % (1629406)Peak memory usage: 47 MB
% 18.54/3.73 % (1629406)Instructions burned: 4293 (million)
% 18.54/3.73 % (1629360)Success in time 3.314 s
% 18.54/3.73 % Vampire exiting
%------------------------------------------------------------------------------